Population dynamics: general results from local analysis

摘要: In this thesis a new approach to the formulation and analysis of general models is presented. interaction between state variables not restricted specific functional forms. Instead they are described by functions. This used formulate study food chains webs. work illustrates that can be analysed in framework local bifurcation theory. order compute bifurcations efficiently mathematical technique, method resultants, derived. Application resultants modelling reveals new, solution famous paradox enrichment. Furthermore, investigation prove chaotic parameter regions generally exist systems with more than three trophic levels. The ecological webs shows large class behaves qualitatively similar chains. Finally, it shown strong form competitive-exclusion principle only occurs because certain degeneracies simple models.